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Our study on the collective behaviour of the system proves that heterogeneous network systems are easier to be synchronized whereas homogeneous network systems go to the complete synchronization faster.
Up to now, several different kinds of synchronous patterns have been discovered and deeply studied, such as complete synchronization [1], generalized synchronization [4], phase synchronization [5], lag synchronization [6] and projective synchronization [7].
Alternative complete synchronization and anti-synchronization is also discovered.
This strongly suggests that the onset of complete synchronization lies in the region 0.1 < m ≤ 0.2.
The dancer works with the horse "in complete synchronization in tempo, quality of movement and phrasing," she said.
Using the same passivity-based method, the complete synchronization of the hyperchaotic system is also obtained.
Second, we propose a set of adaptive controllers and adaptive laws to achieve complete synchronization.
We further prove that the probability of the complete synchronization converges exponentially fast.
The strict connection between the complete synchronization (imperfect complete synchronization) of response oscillators and their phase or generalized synchronization with the driving system (the (1 1) mode locking) is shown.
Second, we investigate the complete synchronization behavior in such a chaotic system under the anti-synchronization control.
Based on invariance principle of stochastic time-delay differential equations, some sufficient conditions of adaptive complete synchronization are given.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com